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CHERN-SIMONS FORMS ASSOCIATED TO HOMOGENEOUS PSEUDO-RIEMANNIAN STRUCTURES
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Journal Article
CHERN-SIMONS FORMS ASSOCIATED TO HOMOGENEOUS PSEUDO-RIEMANNIAN STRUCTURES
2005
Overview
Forms of Chern-Simons type associated to homogeneous pseudo-Riemannian structures are considered. The corresponding secondary classes are a measure of the lack of a homogeneous pseudo-Riemannian space to be locally symmetric. Explicit computations are done for some pseudo-Riemannian Lie groups and their compact quotients.
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